{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4.0</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4.0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>50</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating\n",
       "0       1        1     4.0\n",
       "1       1        3     4.0\n",
       "2       1        6     4.0\n",
       "3       1       47     5.0\n",
       "4       1       50     5.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 获取数据\n",
    "df = pd.read_csv(\"../../../../../data/ml-latest-small/ratings.csv\", usecols=range(3), \n",
    "                 dtype={'userId': np.int32, 'movieId': np.int32, 'rating': np.float32})\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取分别以用户编号和电影编号为index的DataFram数据\n",
    "index_user = df.groupby('userId').agg([list])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>list</th>\n",
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       "      <th>userId</th>\n",
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       "      <th></th>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[1, 3, 6, 47, 50, 70, 101, 110, 151, 157, 163,...</td>\n",
       "      <td>[4.0, 4.0, 4.0, 5.0, 5.0, 3.0, 5.0, 4.0, 5.0, ...</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[318, 333, 1704, 3578, 6874, 8798, 46970, 4851...</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[31, 527, 647, 688, 720, 849, 914, 1093, 1124,...</td>\n",
       "      <td>[0.5, 0.5, 0.5, 0.5, 0.5, 5.0, 0.5, 0.5, 0.5, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[21, 32, 45, 47, 52, 58, 106, 125, 126, 162, 1...</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[1, 21, 34, 36, 39, 50, 58, 110, 150, 153, 232...</td>\n",
       "      <td>[4.0, 4.0, 4.0, 4.0, 3.0, 4.0, 5.0, 4.0, 3.0, ...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                  movieId  \\\n",
       "                                                     list   \n",
       "userId                                                      \n",
       "1       [1, 3, 6, 47, 50, 70, 101, 110, 151, 157, 163,...   \n",
       "2       [318, 333, 1704, 3578, 6874, 8798, 46970, 4851...   \n",
       "3       [31, 527, 647, 688, 720, 849, 914, 1093, 1124,...   \n",
       "4       [21, 32, 45, 47, 52, 58, 106, 125, 126, 162, 1...   \n",
       "5       [1, 21, 34, 36, 39, 50, 58, 110, 150, 153, 232...   \n",
       "\n",
       "                                                   rating  \n",
       "                                                     list  \n",
       "userId                                                     \n",
       "1       [4.0, 4.0, 4.0, 5.0, 5.0, 3.0, 5.0, 4.0, 5.0, ...  \n",
       "2       [3.0, 4.0, 4.5, 4.0, 4.0, 3.5, 4.0, 4.0, 4.5, ...  \n",
       "3       [0.5, 0.5, 0.5, 0.5, 0.5, 5.0, 0.5, 0.5, 0.5, ...  \n",
       "4       [3.0, 2.0, 3.0, 2.0, 3.0, 3.0, 4.0, 5.0, 1.0, ...  \n",
       "5       [4.0, 4.0, 4.0, 4.0, 3.0, 4.0, 5.0, 4.0, 3.0, ...  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "index_user.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "index_movie = df.groupby('movieId').agg([list])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th>userId</th>\n",
       "      <th>rating</th>\n",
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       "    <tr>\n",
       "      <th></th>\n",
       "      <th>list</th>\n",
       "      <th>list</th>\n",
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       "  <tbody>\n",
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       "      <th>1</th>\n",
       "      <td>[1, 5, 7, 15, 17, 18, 19, 21, 27, 31, 32, 33, ...</td>\n",
       "      <td>[4.0, 4.0, 4.5, 2.5, 4.5, 3.5, 4.0, 3.5, 3.0, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[6, 8, 18, 19, 20, 21, 27, 51, 62, 68, 82, 91,...</td>\n",
       "      <td>[4.0, 4.0, 3.0, 3.0, 3.0, 3.5, 4.0, 4.5, 4.0, ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[1, 6, 19, 32, 42, 43, 44, 51, 58, 64, 68, 91,...</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[6, 14, 84, 162, 262, 411, 600]</td>\n",
       "      <td>[3.0, 3.0, 3.0, 3.0, 1.0, 2.0, 1.5]</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>[6, 31, 43, 45, 58, 66, 68, 84, 103, 107, 111,...</td>\n",
       "      <td>[5.0, 3.0, 5.0, 3.0, 4.0, 4.0, 2.0, 3.0, 4.0, ...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                    userId  \\\n",
       "                                                      list   \n",
       "movieId                                                      \n",
       "1        [1, 5, 7, 15, 17, 18, 19, 21, 27, 31, 32, 33, ...   \n",
       "2        [6, 8, 18, 19, 20, 21, 27, 51, 62, 68, 82, 91,...   \n",
       "3        [1, 6, 19, 32, 42, 43, 44, 51, 58, 64, 68, 91,...   \n",
       "4                          [6, 14, 84, 162, 262, 411, 600]   \n",
       "5        [6, 31, 43, 45, 58, 66, 68, 84, 103, 107, 111,...   \n",
       "\n",
       "                                                    rating  \n",
       "                                                      list  \n",
       "movieId                                                     \n",
       "1        [4.0, 4.0, 4.5, 2.5, 4.5, 3.5, 4.0, 3.5, 3.0, ...  \n",
       "2        [4.0, 4.0, 3.0, 3.0, 3.0, 3.5, 4.0, 4.5, 4.0, ...  \n",
       "3        [4.0, 5.0, 3.0, 3.0, 4.0, 5.0, 3.0, 4.0, 3.0, ...  \n",
       "4                      [3.0, 3.0, 3.0, 3.0, 1.0, 2.0, 1.5]  \n",
       "5        [5.0, 3.0, 5.0, 3.0, 4.0, 4.0, 2.0, 3.0, 4.0, ...  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "index_movie.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建分解后的矩阵\n",
    "P = dict(zip(index_user.index, np.random.rand(len(index_user), 10).astype(np.float32)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "Q = dict(zip(index_movie.index, np.random.rand(len(index_movie), 10).astype(np.float32)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iter0\n",
      "RSME = 1\n",
      "iter1\n",
      "RSME = 0\n",
      "iter2\n",
      "RSME = 0\n",
      "iter3\n",
      "RSME = 0\n",
      "iter4\n",
      "RSME = 0\n",
      "iter5\n",
      "RSME = 0\n",
      "iter6\n",
      "RSME = 0\n",
      "iter7\n",
      "RSME = 0\n",
      "iter8\n",
      "RSME = 0\n",
      "iter9\n",
      "RSME = 0\n",
      "iter10\n",
      "RSME = 0\n",
      "iter11\n",
      "RSME = 0\n",
      "iter12\n",
      "RSME = 0\n",
      "iter13\n",
      "RSME = 0\n",
      "iter14\n",
      "RSME = 0\n"
     ]
    }
   ],
   "source": [
    "# 进行随机梯度下降优化\n",
    "for i in range(15):\n",
    "    print(\"iter%d\" % i)\n",
    "    err_list = []\n",
    "    for uid, iid, rat in df.itertuples(index=False):\n",
    "        # 公式计算\n",
    "        p_uk = P[uid]\n",
    "        q_ik = Q[iid]\n",
    "        err = np.float32(rat - np.dot(p_uk, q_ik))\n",
    "        p_uk += 0.01 * (err * q_ik - 0.001 * p_uk)\n",
    "        q_ik += 0.01 * (err * p_uk - 0.0001 * q_ik)\n",
    "        P[uid] = p_uk\n",
    "        Q[iid] = q_ik\n",
    "        err_list.append(err**2)\n",
    "    \n",
    "    print(\"RSME = %d\" % np.sqrt(np.mean(err_list)))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def predict(x, y):\n",
    "    return np.dot(P[x], Q[y])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.8541107"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predict(1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "       dtype=float32),\n",
       " 5: array([1.2190769 , 0.348239  , 0.6758626 , 0.13531226, 0.34095597,\n",
       "        0.46332443, 0.81329757, 1.3462158 , 0.3761215 , 0.3501388 ],\n",
       "       dtype=float32),\n",
       " 6: array([0.94071746, 0.93571675, 0.9422501 , 0.08002432, 0.8349008 ,\n",
       "        0.43443468, 1.0814674 , 0.77891755, 0.47529408, 0.45233658],\n",
       "       dtype=float32),\n",
       " 7: array([0.48178402, 0.65599895, 0.4822294 , 0.6271355 , 0.37241566,\n",
       "        0.6888032 , 0.5060818 , 0.90624255, 0.2345468 , 0.45820528],\n",
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       "       dtype=float32),\n",
       " 25: array([0.4241942 , 0.8602817 , 0.89590955, 0.40819433, 0.88532335,\n",
       "        0.5970634 , 0.8869324 , 0.39123955, 1.2652441 , 0.8243675 ],\n",
       "       dtype=float32),\n",
       " 26: array([0.7221994 , 0.8249252 , 0.806206  , 0.28032127, 0.34049597,\n",
       "        0.88049656, 0.73278296, 0.8123743 , 0.29070133, 0.26069862],\n",
       "       dtype=float32),\n",
       " 27: array([0.8942207 , 0.8302    , 1.2274054 , 0.26254392, 0.142255  ,\n",
       "        0.7431372 , 0.66791683, 0.40934613, 0.33871254, 0.5195261 ],\n",
       "       dtype=float32),\n",
       " 28: array([0.2339392, 0.2317066, 1.0167941, 0.5988137, 0.6958237, 0.4720523,\n",
       "        0.9281034, 0.2154617, 0.4928744, 0.6752235], dtype=float32),\n",
       " 29: array([0.74131155, 0.41364157, 1.0458581 , 0.6523088 , 0.7094748 ,\n",
       "        0.307133  , 0.95236105, 0.766966  , 0.37300178, 0.9446053 ],\n",
       "       dtype=float32),\n",
       " 30: array([0.37116864, 0.9411405 , 0.69893897, 0.4316588 , 0.62295324,\n",
       "        1.1164647 , 0.96357065, 1.2289277 , 0.31995684, 1.1100867 ],\n",
       "       dtype=float32),\n",
       " 31: array([1.0218707 , 0.8653257 , 0.7677612 , 0.7269084 , 0.25314102,\n",
       "        0.6221134 , 1.1806965 , 0.9265306 , 0.22669981, 0.36337098],\n",
       "       dtype=float32),\n",
       " 32: array([0.7729847 , 0.84187233, 0.4431451 , 0.87931633, 0.8666747 ,\n",
       "        0.93050945, 0.840497  , 0.50992036, 0.415831  , 0.40865004],\n",
       "       dtype=float32),\n",
       " 33: array([1.1440055 , 0.72424424, 0.64942634, 0.05023644, 0.82363987,\n",
       "        1.0248417 , 0.81451046, 0.51043385, 0.29797432, 0.2806734 ],\n",
       "       dtype=float32),\n",
       " 34: array([ 0.07113956,  0.8549021 , -0.06719883,  0.7149768 ,  1.0212387 ,\n",
       "         0.6198609 ,  0.23077056,  1.4347258 ,  0.6700881 ,  0.93146807],\n",
       "       dtype=float32),\n",
       " 35: array([1.1812471 , 1.0185757 , 1.0956827 , 0.8586459 , 1.0214528 ,\n",
       "        0.60831285, 0.39362004, 0.61644596, 0.19470659, 0.1523896 ],\n",
       "       dtype=float32),\n",
       " 36: array([ 0.3979653 , -0.16842784,  0.47260585,  0.67237526,  0.8513987 ,\n",
       "         0.40598541,  0.39446846,  1.1069078 ,  0.5071474 ,  0.14524753],\n",
       "       dtype=float32),\n",
       " 37: array([1.1116283 , 1.022729  , 0.24675445, 0.73743886, 0.17271216,\n",
       "        0.55146563, 0.6993549 , 0.9489726 , 0.8688207 , 0.89390975],\n",
       "       dtype=float32),\n",
       " 38: array([0.00738449, 0.75263137, 1.1071438 , 0.34378904, 0.66968036,\n",
       "        0.60470945, 0.8309777 , 0.8059047 , 0.3575722 , 0.36674455],\n",
       "       dtype=float32),\n",
       " 39: array([0.50108016, 0.5233132 , 0.5373843 , 1.0046806 , 0.6796627 ,\n",
       "        0.9736148 , 0.17160437, 0.5897789 , 0.8308323 , 1.152563  ],\n",
       "       dtype=float32),\n",
       " 40: array([1.1305982 , 0.83636725, 0.42686263, 0.937575  , 0.38159457,\n",
       "        1.1553961 , 0.35920188, 0.7566802 , 0.7204183 , 0.31240097],\n",
       "       dtype=float32),\n",
       " 41: array([-0.23972432,  1.8975426 ,  0.6715879 , -0.07716154,  0.25108275,\n",
       "         0.54507416,  0.39122596,  1.6029096 , -0.09621418,  0.38186762],\n",
       "       dtype=float32),\n",
       " 42: array([ 1.1610488 ,  0.75435865, -0.0257133 ,  1.0459828 ,  0.4052955 ,\n",
       "         0.5119274 ,  0.589366  ,  0.70341635,  1.070576  ,  0.93118197],\n",
       "       dtype=float32),\n",
       " 43: array([0.6627078 , 1.3313289 , 0.3829521 , 0.920325  , 1.0710934 ,\n",
       "        1.4867547 , 0.9964829 , 0.41479367, 0.46821862, 1.5286431 ],\n",
       "       dtype=float32),\n",
       " 44: array([0.76144236, 0.6724001 , 0.53528565, 0.37035948, 0.80644834,\n",
       "        0.94044584, 0.48170623, 0.55985135, 0.76623225, 0.95641047],\n",
       "       dtype=float32),\n",
       " 45: array([0.9726402 , 0.52016056, 0.6388507 , 1.0564318 , 0.7804279 ,\n",
       "        0.70472383, 0.6944068 , 0.8095442 , 0.9817935 , 0.7885161 ],\n",
       "       dtype=float32),\n",
       " 46: array([0.62309086, 1.1580094 , 0.70554566, 1.1953863 , 0.63800967,\n",
       "        0.47978944, 1.0992982 , 0.48905742, 0.66608226, 0.5223266 ],\n",
       "       dtype=float32),\n",
       " 47: array([ 0.7059446 ,  0.268774  ,  0.5416295 ,  0.6448062 ,  1.1298501 ,\n",
       "         0.96901435,  0.10598892,  0.4520732 , -0.3007934 ,  0.7606465 ],\n",
       "       dtype=float32),\n",
       " 48: array([1.1854099 , 0.48918566, 0.23861516, 0.5917445 , 0.10381909,\n",
       "        0.86359763, 0.40629917, 0.943882  , 1.0773957 , 1.0617621 ],\n",
       "       dtype=float32),\n",
       " 49: array([0.36164376, 0.5156573 , 0.5996864 , 1.000803  , 0.71150666,\n",
       "        0.6672717 , 0.9894745 , 0.71465325, 0.72812253, 0.65915203],\n",
       "       dtype=float32),\n",
       " 50: array([0.3024775 , 0.6695904 , 0.36333305, 0.34979355, 0.7876913 ,\n",
       "        0.313571  , 1.0173645 , 0.41176075, 0.33071357, 0.06100845],\n",
       "       dtype=float32),\n",
       " 51: array([0.72703654, 1.732833  , 0.22445713, 0.28412428, 0.8369502 ,\n",
       "        0.63804066, 0.7528763 , 0.29341906, 1.1368146 , 0.8312086 ],\n",
       "       dtype=float32),\n",
       " 52: array([0.9159852 , 1.2804607 , 0.98202693, 0.7770207 , 0.59729445,\n",
       "        0.6876346 , 0.52700114, 0.9696625 , 0.6708431 , 0.33988255],\n",
       "       dtype=float32),\n",
       " 53: array([1.3818821 , 0.33988696, 0.7682535 , 0.83721083, 0.86249584,\n",
       "        1.3030745 , 1.1691799 , 1.2565737 , 0.29122606, 0.64884824],\n",
       "       dtype=float32),\n",
       " 54: array([0.4619466 , 0.40846604, 0.40427077, 0.8069443 , 0.40308514,\n",
       "        0.5594628 , 0.7297381 , 0.77250713, 0.4343304 , 0.46131414],\n",
       "       dtype=float32),\n",
       " 55: array([-0.22948879,  0.5588905 ,  0.3031225 ,  0.41636667,  0.872745  ,\n",
       "         0.44269446,  0.67146724,  1.3001268 ,  0.20616867,  0.7936901 ],\n",
       "       dtype=float32),\n",
       " 56: array([1.046994  , 0.26653007, 0.5130941 , 0.8846904 , 0.998941  ,\n",
       "        0.455964  , 0.30537423, 0.81398356, 0.93431294, 0.6746042 ],\n",
       "       dtype=float32),\n",
       " 57: array([0.78992105, 0.66726136, 0.70554453, 0.17904797, 0.42822266,\n",
       "        0.6430371 , 0.83962804, 0.36361086, 1.0371363 , 0.5244143 ],\n",
       "       dtype=float32),\n",
       " 58: array([1.1111822 , 1.381652  , 0.5456983 , 0.49027178, 0.506114  ,\n",
       "        0.44913474, 0.8239675 , 1.3145971 , 0.2597084 , 0.43371353],\n",
       "       dtype=float32),\n",
       " 59: array([0.56055295, 0.9787226 , 0.5643295 , 0.8360635 , 0.2906066 ,\n",
       "        0.4608681 , 1.3100184 , 0.42252532, 0.4613442 , 1.2002532 ],\n",
       "       dtype=float32),\n",
       " 60: array([0.44791093, 1.0702163 , 0.7292461 , 0.4215154 , 1.0574192 ,\n",
       "        0.41438708, 0.9886236 , 0.36543986, 0.5506836 , 0.48889366],\n",
       "       dtype=float32),\n",
       " 61: array([0.5787478 , 0.1331273 , 0.559674  , 0.46049795, 0.5789378 ,\n",
       "        0.93275696, 0.7651088 , 0.93676424, 0.6298655 , 0.922601  ],\n",
       "       dtype=float32),\n",
       " 62: array([0.8417472 , 0.62045753, 0.91012424, 0.70757484, 0.6875679 ,\n",
       "        0.41717142, 0.8631788 , 0.8163842 , 0.5354559 , 0.82872134],\n",
       "       dtype=float32),\n",
       " 63: array([0.8314049 , 1.3774697 , 0.07723852, 0.55087835, 0.31916127,\n",
       "        0.5929045 , 0.9025006 , 0.9026028 , 0.28996485, 1.0558084 ],\n",
       "       dtype=float32),\n",
       " 64: array([0.5229588 , 0.5559742 , 0.5703288 , 0.76775366, 0.48587373,\n",
       "        0.60814357, 0.84108835, 0.7786604 , 0.7968643 , 0.8919255 ],\n",
       "       dtype=float32),\n",
       " 65: array([0.43336314, 0.8901173 , 0.8238738 , 0.77679855, 0.49140158,\n",
       "        0.66663206, 0.8900792 , 0.5649875 , 0.7267482 , 0.37850365],\n",
       "       dtype=float32),\n",
       " 66: array([0.60773754, 0.75305504, 0.45751694, 0.8564829 , 0.7824449 ,\n",
       "        0.9406993 , 0.8272763 , 0.7654012 , 0.7123857 , 0.71184886],\n",
       "       dtype=float32),\n",
       " 67: array([ 0.45813578,  0.8196567 ,  0.5606848 ,  0.55266917,  0.8203216 ,\n",
       "         1.1004466 , -0.10622009,  0.445372  ,  0.9984734 ,  0.69948995],\n",
       "       dtype=float32),\n",
       " 68: array([0.89165616, 0.5350628 , 0.63921344, 1.0725373 , 0.931308  ,\n",
       "        0.22189939, 0.57556474, 0.40063274, 0.29501322, 0.8434206 ],\n",
       "       dtype=float32),\n",
       " 69: array([1.0510625 , 1.0580516 , 0.5183407 , 0.60089105, 0.5336943 ,\n",
       "        0.76182204, 0.82316077, 1.0827789 , 0.5710219 , 0.52855283],\n",
       "       dtype=float32),\n",
       " 70: array([0.32967377, 1.2525672 , 0.882666  , 1.2981067 , 0.6421542 ,\n",
       "        0.49231964, 0.6526168 , 0.39627698, 0.76117474, 0.34655547],\n",
       "       dtype=float32),\n",
       " 71: array([0.8695609 , 0.6692857 , 0.8957261 , 1.056794  , 0.33385688,\n",
       "        0.39435798, 0.51502293, 0.8904247 , 0.00435728, 0.92778486],\n",
       "       dtype=float32),\n",
       " 72: array([0.9686514 , 0.46207455, 0.81926024, 0.712462  , 0.68950033,\n",
       "        0.7295846 , 0.50705415, 0.566553  , 0.7357816 , 0.7289527 ],\n",
       "       dtype=float32),\n",
       " 73: array([0.7928801 , 1.353758  , 0.5407977 , 0.0095882 , 0.3872782 ,\n",
       "        0.6472598 , 0.38334206, 1.2487733 , 0.6341166 , 0.5076555 ],\n",
       "       dtype=float32),\n",
       " 74: array([0.624781  , 0.89485943, 0.88071245, 0.45195857, 0.87220305,\n",
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       "       dtype=float32),\n",
       " 75: array([-0.0044774 ,  0.89781004,  0.22485724,  0.6992986 ,  1.4441696 ,\n",
       "         0.60889214,  0.29048598,  0.14237322,  0.97200876,  0.30467942],\n",
       "       dtype=float32),\n",
       " 76: array([-0.14191014,  0.63009155,  0.27684993,  0.9660702 ,  0.6225401 ,\n",
       "         0.63054574,  0.8951046 ,  1.203849  ,  0.4044341 ,  0.20927125],\n",
       "       dtype=float32),\n",
       " 77: array([0.5594233 , 0.06715447, 0.9812004 , 0.6794663 , 0.43530363,\n",
       "        0.47361535, 0.8451815 , 0.57713604, 0.6082572 , 1.0170331 ],\n",
       "       dtype=float32),\n",
       " 78: array([ 0.83738196,  0.5879301 ,  0.99138576,  0.03996934,  0.52219623,\n",
       "         0.85752046, -0.10942979,  0.18298611,  0.82844436,  0.7815253 ],\n",
       "       dtype=float32),\n",
       " 79: array([0.5042553 , 0.5529676 , 0.5562933 , 0.5572547 , 1.0423981 ,\n",
       "        1.0926908 , 0.23054114, 0.60424757, 0.9646619 , 0.6390022 ],\n",
       "       dtype=float32),\n",
       " 80: array([0.5571156, 0.8827466, 0.7631725, 1.042422 , 0.5978769, 0.6912798,\n",
       "        0.611094 , 0.8255309, 0.8635387, 0.6915628], dtype=float32),\n",
       " 81: array([-0.22057256,  0.5200718 ,  0.3550173 ,  0.65320766,  0.19483301,\n",
       "         0.6510283 ,  1.2636857 ,  0.7196325 ,  0.7692443 ,  0.6919247 ],\n",
       "       dtype=float32),\n",
       " 82: array([0.80542314, 0.6966088 , 1.0466794 , 0.37923533, 0.8343766 ,\n",
       "        0.33860466, 0.56779176, 1.0684927 , 0.65451616, 0.58180445],\n",
       "       dtype=float32),\n",
       " 83: array([ 0.7548973 ,  0.9422888 ,  0.9516229 ,  1.0101631 ,  0.7507709 ,\n",
       "        -0.55864537,  0.45843607,  0.6219394 ,  0.09890991,  0.7139014 ],\n",
       "       dtype=float32),\n",
       " 84: array([1.033651  , 0.7075868 , 0.37665886, 0.4950905 , 0.80850947,\n",
       "        0.5981148 , 0.45447245, 0.67393786, 0.8988179 , 0.5676352 ],\n",
       "       dtype=float32),\n",
       " 85: array([1.2235487 , 0.8152057 , 0.98683196, 0.18928415, 0.04749137,\n",
       "        0.38116986, 0.6944262 , 0.3522834 , 1.0333085 , 0.8209108 ],\n",
       "       dtype=float32),\n",
       " 86: array([0.97342217, 1.0983367 , 0.36736158, 0.65281385, 0.45022324,\n",
       "        0.93183064, 0.59679466, 0.9996195 , 0.3219437 , 0.45776233],\n",
       "       dtype=float32),\n",
       " 87: array([0.96423477, 1.0350996 , 0.9565485 , 0.34845784, 0.54629785,\n",
       "        0.4656622 , 0.8895376 , 0.8041066 , 0.44676518, 0.5267937 ],\n",
       "       dtype=float32),\n",
       " 88: array([0.53147244, 0.50648797, 0.672739  , 0.923447  , 0.7674298 ,\n",
       "        0.9207495 , 1.0233052 , 0.67359227, 0.64156336, 0.33524877],\n",
       "       dtype=float32),\n",
       " 89: array([ 1.1191196 , -0.3137153 ,  0.42318717,  1.511     ,  0.48086128,\n",
       "         0.8548657 ,  0.62982374,  0.7422957 ,  0.9873181 ,  1.136262  ],\n",
       "       dtype=float32),\n",
       " 90: array([0.6464735 , 0.9485001 , 0.87932616, 0.89813274, 0.6336334 ,\n",
       "        0.15274735, 0.84182364, 0.7377082 , 0.63507587, 0.8294001 ],\n",
       "       dtype=float32),\n",
       " 91: array([0.42324105, 0.16473454, 0.65958387, 0.8174286 , 0.6110559 ,\n",
       "        1.0832233 , 0.67620546, 0.40591425, 1.0226128 , 0.7452849 ],\n",
       "       dtype=float32),\n",
       " 92: array([0.7524994 , 0.90881056, 0.48299354, 0.8101066 , 0.546799  ,\n",
       "        0.3000732 , 0.9387379 , 0.9015718 , 0.7811572 , 0.8384464 ],\n",
       "       dtype=float32),\n",
       " 93: array([0.89588344, 0.25116748, 1.0597405 , 0.82086116, 0.78517365,\n",
       "        1.1579373 , 0.770327  , 0.7335282 , 0.8257698 , 0.75694764],\n",
       "       dtype=float32),\n",
       " 94: array([0.9662504 , 0.4006693 , 1.0280309 , 0.55587006, 0.57763785,\n",
       "        0.37471   , 0.36928836, 0.68207675, 0.31787357, 0.20210968],\n",
       "       dtype=float32),\n",
       " 95: array([1.2395352 , 0.87926054, 0.3890814 , 0.58826894, 0.6566574 ,\n",
       "        0.7014169 , 0.78828526, 0.6318602 , 0.62156904, 0.5647236 ],\n",
       "       dtype=float32),\n",
       " 96: array([ 1.257569  ,  0.2489685 ,  0.26349217, -0.02477116,  1.2058302 ,\n",
       "         0.5317911 ,  0.07748979,  1.5630593 ,  0.75494635,  0.45854184],\n",
       "       dtype=float32),\n",
       " 97: array([0.9834488 , 0.9243662 , 0.38144103, 0.89044684, 0.63654786,\n",
       "        0.50610936, 0.5596984 , 0.9442243 , 0.960234  , 1.0264163 ],\n",
       "       dtype=float32),\n",
       " 98: array([0.8615741 , 0.78298753, 0.8455416 , 0.6242883 , 0.39127415,\n",
       "        0.8441753 , 0.43543684, 0.4689772 , 0.8577794 , 0.7516098 ],\n",
       "       dtype=float32),\n",
       " 99: array([0.88707197, 0.43407458, 1.4005339 , 0.1739973 , 0.8580767 ,\n",
       "        0.5853232 , 0.37851876, 1.2811928 , 1.0376443 , 0.6599906 ],\n",
       "       dtype=float32),\n",
       " 100: array([0.59540886, 0.7523341 , 0.38843253, 1.0526133 , 1.0219351 ,\n",
       "        0.69037336, 0.50729793, 1.1419042 , 0.47197482, 0.5374363 ],\n",
       "       dtype=float32),\n",
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       "         1.090173  , -0.03386679,  1.1693331 ,  0.2990351 ,  0.9981372 ],\n",
       "       dtype=float32),\n",
       " 102: array([0.6913332 , 0.79724514, 0.7345095 , 0.10085318, 0.86793095,\n",
       "        0.50460917, 0.5072039 , 0.7852501 , 0.8082098 , 0.3543792 ],\n",
       "       dtype=float32),\n",
       " 103: array([0.37959063, 0.89947325, 0.6295592 , 0.49862814, 0.6752079 ,\n",
       "        0.9327421 , 0.2699408 , 0.79044586, 0.65791893, 0.7900505 ],\n",
       "       dtype=float32),\n",
       " 104: array([1.0204846 , 0.7048297 , 0.36832666, 1.2331103 , 0.7333172 ,\n",
       "        0.48231772, 1.0544748 , 0.2268828 , 0.28376728, 0.54501283],\n",
       "       dtype=float32),\n",
       " 105: array([0.8177214, 0.9904656, 0.9740721, 0.9390154, 0.8207027, 0.8283807,\n",
       "        0.8017511, 0.9755548, 0.6119392, 0.7867188], dtype=float32),\n",
       " 106: array([0.78535265, 0.3586849 , 0.74421144, 1.3652639 , 1.2855077 ,\n",
       "        0.08030907, 0.2850548 , 0.46650574, 1.1039822 , 1.0367807 ],\n",
       "       dtype=float32),\n",
       " 107: array([0.7800916 , 1.0062958 , 0.56923664, 0.7569549 , 0.7253934 ,\n",
       "        0.7822486 , 0.8246569 , 0.9241203 , 0.5031184 , 0.5709168 ],\n",
       "       dtype=float32),\n",
       " 108: array([0.9024474 , 0.334406  , 0.59838825, 0.9121398 , 0.47118235,\n",
       "        0.7910599 , 0.75175565, 0.7867078 , 0.869588  , 0.92042756],\n",
       "       dtype=float32),\n",
       " 109: array([0.5280623 , 0.80222654, 0.39680073, 0.5572271 , 0.46380737,\n",
       "        0.6997999 , 0.9316724 , 0.88794875, 0.5113277 , 0.3408918 ],\n",
       "       dtype=float32),\n",
       " 110: array([1.149597  , 1.0323516 , 0.39713582, 0.7892383 , 0.5976032 ,\n",
       "        0.5870357 , 0.7721257 , 0.27282795, 0.69727767, 0.12578698],\n",
       "       dtype=float32),\n",
       " 111: array([0.6641697 , 0.6402551 , 1.0678089 , 0.9706774 , 0.4663933 ,\n",
       "        0.7502511 , 0.86445314, 0.04283716, 0.4885611 , 1.001464  ],\n",
       "       dtype=float32),\n",
       " 112: array([ 0.937975  , -0.3168728 ,  1.1042477 ,  0.12809373,  0.47723097,\n",
       "         0.8574076 ,  0.9976618 ,  0.57903737,  0.582101  ,  1.1459792 ],\n",
       "       dtype=float32),\n",
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       "        0.6326222 , 0.30029497, 0.25620687, 0.45476377, 1.1258146 ],\n",
       "       dtype=float32),\n",
       " 114: array([1.1494187 , 0.40425757, 0.27542186, 0.10289446, 0.25603494,\n",
       "        0.9446932 , 0.64536864, 0.62676334, 0.4765376 , 0.67429507],\n",
       "       dtype=float32),\n",
       " 115: array([ 0.23259105,  0.7286962 ,  1.0593588 ,  0.4885836 ,  0.81953776,\n",
       "        -0.09061153,  0.74987507,  0.4853521 ,  1.2495203 ,  1.2249613 ],\n",
       "       dtype=float32),\n",
       " 116: array([ 0.9423846 ,  0.5021311 ,  1.2318907 ,  1.3737687 ,  1.0766948 ,\n",
       "        -0.04999422,  0.36573067,  0.17647454,  0.00231128,  0.37664446],\n",
       "       dtype=float32),\n",
       " 117: array([0.81597114, 0.7217909 , 0.517683  , 0.48810703, 0.51095474,\n",
       "        0.9231322 , 0.70033777, 0.59983975, 0.5540035 , 0.35426632],\n",
       "       dtype=float32),\n",
       " 118: array([0.36785698, 0.9507494 , 0.49943125, 0.71647215, 0.86239195,\n",
       "        0.8817273 , 0.4623061 , 0.44265842, 0.51369965, 0.9278    ],\n",
       "       dtype=float32),\n",
       " 119: array([0.7273962 , 0.84706384, 0.8079657 , 0.76962894, 0.79061526,\n",
       "        0.89709836, 0.64825594, 0.90625125, 0.5148341 , 0.7013285 ],\n",
       "       dtype=float32),\n",
       " 120: array([0.5452436 , 0.8647316 , 0.54667044, 0.45750543, 0.962552  ,\n",
       "        0.63490784, 0.7334136 , 0.4175408 , 0.8484757 , 0.4614821 ],\n",
       "       dtype=float32),\n",
       " 121: array([0.62489295, 0.7613326 , 0.87002885, 0.3064624 , 0.5713371 ,\n",
       "        0.5836143 , 0.42035556, 1.2247683 , 0.25526276, 0.11220467],\n",
       "       dtype=float32),\n",
       " 122: array([0.7552286 , 0.73457885, 0.8238224 , 0.8196176 , 0.7324421 ,\n",
       "        0.8440282 , 0.7820936 , 0.6312192 , 0.8415524 , 0.5752291 ],\n",
       "       dtype=float32),\n",
       " 123: array([0.74479145, 1.0813644 , 0.349255  , 0.46503535, 0.43122008,\n",
       "        0.537079  , 0.81515455, 0.8693368 , 0.572806  , 0.70323956],\n",
       "       dtype=float32),\n",
       " 124: array([0.88743955, 0.3127463 , 0.81918186, 0.46016133, 0.6049717 ,\n",
       "        0.55844194, 0.82385486, 0.8703456 , 0.6320173 , 0.75287753],\n",
       "       dtype=float32),\n",
       " 125: array([0.9335955 , 0.836722  , 0.8508805 , 0.8663013 , 0.76106274,\n",
       "        0.50919026, 0.57285637, 0.28898597, 0.55546206, 0.41451508],\n",
       "       dtype=float32),\n",
       " 126: array([0.4726897 , 0.86158377, 1.3266577 , 0.09927224, 0.69899976,\n",
       "        0.51326704, 0.25992066, 0.42438048, 0.6900746 , 0.44893116],\n",
       "       dtype=float32),\n",
       " 127: array([0.02899663, 0.77768975, 0.42236066, 0.05789301, 0.32659337,\n",
       "        0.79694444, 0.8414545 , 0.67376256, 0.5259986 , 0.7434027 ],\n",
       "       dtype=float32),\n",
       " 128: array([1.042601  , 0.60694474, 0.55371964, 1.1222464 , 0.45950398,\n",
       "        0.72938895, 0.56599474, 0.9259337 , 0.4535744 , 0.5823623 ],\n",
       "       dtype=float32),\n",
       " 129: array([1.1918103 , 0.7627751 , 0.80060774, 0.85856956, 0.5684225 ,\n",
       "        0.53124595, 0.63407123, 0.655268  , 0.5240317 , 0.48253512],\n",
       "       dtype=float32),\n",
       " 130: array([0.7307062 , 0.30938822, 0.5629082 , 0.8413629 , 0.34939617,\n",
       "        0.6973252 , 0.22508845, 1.3615972 , 0.5103076 , 0.7002533 ],\n",
       "       dtype=float32),\n",
       " 131: array([0.4295025 , 0.49877158, 0.5150604 , 0.7883893 , 0.16976573,\n",
       "        0.97285813, 0.9562071 , 0.35479498, 0.4930241 , 0.43062103],\n",
       "       dtype=float32),\n",
       " 132: array([0.53264236, 0.6227476 , 0.29975337, 0.43694916, 0.4027163 ,\n",
       "        0.47797692, 0.6173566 , 0.6608481 , 0.60432124, 0.50935584],\n",
       "       dtype=float32),\n",
       " 133: array([0.76516545, 0.7285857 , 0.44606578, 0.6608265 , 0.39452335,\n",
       "        0.23168083, 0.09591725, 0.7714287 , 0.63593477, 0.2787892 ],\n",
       "       dtype=float32),\n",
       " 134: array([0.1367639 , 0.45810807, 0.96867955, 0.8352503 , 0.803534  ,\n",
       "        0.57650405, 1.037221  , 0.7153409 , 0.89049935, 0.52135235],\n",
       "       dtype=float32),\n",
       " 135: array([0.6314781 , 0.65426636, 0.02925173, 0.8581127 , 0.8711924 ,\n",
       "        0.92087066, 0.44296372, 1.0335217 , 0.87383324, 0.4376572 ],\n",
       "       dtype=float32),\n",
       " 136: array([ 0.19417009,  0.4843177 ,  1.251914  ,  0.15688448,  0.49901512,\n",
       "        -0.14202657,  0.98427963,  1.068461  ,  0.88327134,  0.9322005 ],\n",
       "       dtype=float32),\n",
       " 137: array([0.6633424 , 0.35697347, 0.50745356, 0.6239816 , 0.6933357 ,\n",
       "        0.79675895, 0.7525298 , 0.35257617, 0.43855894, 1.2204752 ],\n",
       "       dtype=float32),\n",
       " 138: array([ 0.15680304,  1.0553858 ,  0.6823408 , -0.11278637,  1.1399953 ,\n",
       "         0.3805356 ,  0.84579766,  1.0652057 ,  0.5987657 ,  0.53840137],\n",
       "       dtype=float32),\n",
       " 139: array([0.42438442, 0.19910616, 0.41811907, 0.26927242, 0.77148336,\n",
       "        0.3004718 , 0.35571662, 0.1484754 , 0.58427095, 0.5160484 ],\n",
       "       dtype=float32),\n",
       " 140: array([1.0330079 , 0.64390653, 0.76138294, 0.8017184 , 0.51917225,\n",
       "        0.01538811, 0.34841236, 0.71842855, 0.43756494, 0.81822133],\n",
       "       dtype=float32),\n",
       " 141: array([0.7164864 , 0.86054325, 0.48073745, 0.68885744, 0.66358787,\n",
       "        0.39519593, 0.74001265, 0.21317157, 0.72025293, 0.8752709 ],\n",
       "       dtype=float32),\n",
       " 142: array([0.7202569 , 0.680603  , 0.6093876 , 0.62112147, 0.29195437,\n",
       "        0.8582349 , 0.18401885, 0.88304317, 0.94037163, 0.8242776 ],\n",
       "       dtype=float32),\n",
       " 143: array([ 1.2844034 , -0.53472245,  1.0023397 ,  0.93341005,  0.8372027 ,\n",
       "         0.43839565, -0.07752739,  0.6230477 ,  0.28186396,  1.0453553 ],\n",
       "       dtype=float32),\n",
       " 144: array([0.65694135, 0.8854645 , 0.42649415, 0.4456924 , 0.8575547 ,\n",
       "        0.98631984, 0.41753015, 0.7389593 , 0.67595327, 0.48072624],\n",
       "       dtype=float32),\n",
       " 145: array([0.7435084 , 0.6592257 , 0.6309766 , 0.4077053 , 0.11503512,\n",
       "        0.5410113 , 0.8747948 , 0.60793275, 0.6282383 , 0.99789864],\n",
       "       dtype=float32),\n",
       " 146: array([0.33349055, 0.60883707, 0.80782753, 0.29984093, 0.7762261 ,\n",
       "        0.18641236, 0.57348925, 1.3308858 , 0.50339025, 0.8113461 ],\n",
       "       dtype=float32),\n",
       " 147: array([0.7302245 , 1.4358442 , 0.7598551 , 1.1155335 , 0.45965257,\n",
       "        0.3912757 , 0.11774769, 0.3965154 , 0.77382046, 0.12273245],\n",
       "       dtype=float32),\n",
       " 148: array([0.9808199 , 0.54649025, 0.5040418 , 0.4180367 , 0.6376771 ,\n",
       "        0.640481  , 0.6225758 , 0.27881536, 0.54235965, 0.96553403],\n",
       "       dtype=float32),\n",
       " 149: array([0.733214  , 0.15363595, 0.70422196, 1.1374853 , 0.34498373,\n",
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       "       dtype=float32),\n",
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       "        0.8476875 , 0.85226524, 0.5649339 , 0.5820978 , 1.0393537 ],\n",
       "       dtype=float32),\n",
       " 151: array([0.31365126, 0.38944206, 0.97561437, 1.5053486 , 0.31112152,\n",
       "        0.9419241 , 0.48128825, 0.3428737 , 1.1258465 , 1.0411502 ],\n",
       "       dtype=float32),\n",
       " 152: array([0.6352023 , 0.3796629 , 0.31451088, 0.75431675, 0.26786917,\n",
       "        0.60401857, 0.8909519 , 0.660726  , 0.7851526 , 0.98181   ],\n",
       "       dtype=float32),\n",
       " 153: array([ 0.86701185,  0.25465053, -0.27133766,  0.1643138 ,  1.1925141 ,\n",
       "        -0.1877077 ,  0.83244383,  1.6544074 , -0.12488803, -0.00590159],\n",
       "       dtype=float32),\n",
       " 154: array([0.9474739 , 0.50780964, 0.35666716, 0.586293  , 0.7918367 ,\n",
       "        0.8664114 , 1.2573286 , 0.42747942, 1.2846076 , 0.46734557],\n",
       "       dtype=float32),\n",
       " 155: array([0.525252  , 0.5692516 , 1.0701469 , 0.5323078 , 0.49087137,\n",
       "        0.57658285, 0.9857687 , 1.1250759 , 0.31130075, 0.7148499 ],\n",
       "       dtype=float32),\n",
       " 156: array([0.5388972 , 0.688374  , 0.05349204, 0.8335323 , 0.7327045 ,\n",
       "        1.4989486 , 0.76318955, 0.5637404 , 0.27410915, 0.9664101 ],\n",
       "       dtype=float32),\n",
       " 157: array([0.9628179 , 0.38379735, 0.5572655 , 0.37663847, 0.6199288 ,\n",
       "        0.89549977, 0.8202378 , 0.5526411 , 0.96439   , 0.21513607],\n",
       "       dtype=float32),\n",
       " 158: array([0.89490813, 0.5556868 , 0.3205606 , 0.49934095, 0.6417169 ,\n",
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       "       dtype=float32),\n",
       " 159: array([ 1.401209  ,  0.31292242,  0.81211513,  1.357275  ,  0.08183171,\n",
       "         1.1985992 , -0.12206468,  0.20943841,  0.4154745 ,  0.177935  ],\n",
       "       dtype=float32),\n",
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       "        -0.10805838,  1.3818048 ,  0.24055512,  2.077561  , -1.1154604 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 162: array([0.44792175, 0.973452  , 0.98953813, 0.7358002 , 0.35980693,\n",
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       "       dtype=float32),\n",
       " 163: array([0.57533735, 0.74246377, 0.32704982, 0.95618796, 0.6455415 ,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.64823884, 0.74444276, 0.5836339 , 0.5326571 , 0.7039047 ],\n",
       "       dtype=float32),\n",
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       "        0.42467955, 0.41650465, 0.6044069 , 0.60821253, 0.69637454],\n",
       "       dtype=float32),\n",
       " 171: array([1.3254651 , 0.8221828 , 0.33683917, 0.6097068 , 1.2929014 ,\n",
       "        1.0724021 , 0.48324588, 0.4882383 , 0.7524988 , 0.760801  ],\n",
       "       dtype=float32),\n",
       " 172: array([1.1894746 , 0.8714816 , 0.41624576, 0.9943047 , 0.21597055,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.68224406, 0.64307225, 0.8180585 , 0.63212943, 0.7101573 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.693451  , 0.63953274, 0.9125343 , 0.98277056, 0.688372  ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        1.2125008 , 0.7243052 , 0.80510724, 0.5160615 , 0.5624397 ],\n",
       "       dtype=float32),\n",
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       "        0.53827417, 0.8359008 , 0.77397716, 0.40233165, 0.5768048 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        1.1558444 , 0.7334829 , 0.44321558, 0.7307737 , 0.1437281 ],\n",
       "       dtype=float32),\n",
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       "        0.19941655, 0.33411932, 0.6102544 , 0.85080177, 0.658555  ],\n",
       "       dtype=float32),\n",
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       "        0.8539419 , 0.42868182, 0.56131274, 0.9314899 , 0.7191655 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 186: array([0.66218525, 0.60879505, 0.56588364, 0.9065715 , 1.131786  ,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.57583886, 0.68881774, 0.8466238 , 0.8532433 , 0.9792129 ],\n",
       "       dtype=float32),\n",
       " 189: array([0.20046636, 0.7186537 , 1.109061  , 0.17377082, 0.81284904,\n",
       "        1.0401556 , 0.300902  , 0.7234606 , 0.5434225 , 0.9716682 ],\n",
       "       dtype=float32),\n",
       " 190: array([0.75652516, 0.5217096 , 0.57585484, 0.5102656 , 1.0472891 ,\n",
       "        0.33899808, 1.3463932 , 0.52610725, 0.5207863 , 0.40967813],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.5340726 , 0.89948994, 1.2418736 , 0.36776504, 0.9453208 ],\n",
       "       dtype=float32),\n",
       " 193: array([0.6583039 , 0.7637564 , 0.17582646, 0.62873167, 1.0424165 ,\n",
       "        0.8842312 , 0.32478243, 0.80549157, 0.73129   , 0.09747146],\n",
       "       dtype=float32),\n",
       " 194: array([0.7981053 , 0.7764554 , 0.12508225, 0.24874233, 0.70771956,\n",
       "        0.9691376 , 0.48015532, 1.0054057 , 0.39360887, 0.70631444],\n",
       "       dtype=float32),\n",
       " 195: array([1.006884  , 1.2615093 , 0.06241753, 0.53138804, 0.67490196,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.52438796, 0.719497  , 0.6497771 , 0.7505398 , 0.7146663 ],\n",
       "       dtype=float32),\n",
       " 203: array([0.099654 , 0.90387  , 0.5811679, 0.4296219, 1.2479917, 0.5676507,\n",
       "        0.8974752, 1.1482911, 0.5137244, 0.5834666], dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.541175  , 0.5826161 , 0.9020225 , 0.94417083, 0.5121646 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.4405079 , 0.8206131 , 0.5706035 , 1.1858069 , 0.7913888 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.64030516, 0.22790676, 0.7808025 , 1.0156499 , 0.72916627],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.7894971 , 0.6035575 , 0.9125724 , 0.6591433 , 0.5932899 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.88561356, 0.37249365, 0.7374538 , 0.25882235, 0.32778257],\n",
       "       dtype=float32),\n",
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       "        0.7474616 , 0.4029764 , 0.5790853 , 0.58794504, 1.0984795 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "         0.614743  ,  0.99372375,  0.4405652 , -0.07121718,  0.67547274],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "         1.0222231 , -0.01415268,  0.6376553 ,  0.93266124,  0.86575663],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.5784997 , 0.6783645 , 0.33842456, 0.7497659 , 0.17051458],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.7142292 , 0.27458984, 0.8016957 , 1.1373309 , 0.7360719 ],\n",
       "       dtype=float32),\n",
       " 227: array([0.95005983, 0.99812496, 0.41060528, 0.6741371 , 0.62115186,\n",
       "        0.544291  , 0.80091685, 0.8811485 , 0.5222126 , 0.5570525 ],\n",
       "       dtype=float32),\n",
       " 228: array([0.5712997 , 0.9628625 , 0.7468863 , 1.2562937 , 0.7755183 ,\n",
       "        0.6832197 , 0.6337141 , 0.34716937, 0.77062744, 0.22158341],\n",
       "       dtype=float32),\n",
       " 229: array([0.7123051 , 0.3948511 , 1.1657686 , 0.6797707 , 0.43511668,\n",
       "        0.45713633, 0.3880784 , 0.9874836 , 0.46424553, 0.7543989 ],\n",
       "       dtype=float32),\n",
       " 230: array([0.5832377 , 0.83157676, 0.32197857, 0.39474857, 0.688669  ,\n",
       "        0.6011083 , 0.39417723, 0.34101817, 0.70297986, 1.1382579 ],\n",
       "       dtype=float32),\n",
       " 231: array([ 1.0748607 ,  0.64356124,  0.7079549 ,  0.4879205 ,  0.38704962,\n",
       "         0.9939329 ,  0.8086626 , -0.08828295,  0.59026307,  0.4670477 ],\n",
       "       dtype=float32),\n",
       " 232: array([0.57197845, 0.5770418 , 0.83738196, 0.564779  , 0.49288085,\n",
       "        0.65558267, 0.5908972 , 0.7497206 , 0.809201  , 0.8914309 ],\n",
       "       dtype=float32),\n",
       " 233: array([0.9273895 , 0.37616536, 0.27912185, 0.36804298, 0.32465747,\n",
       "        0.7559688 , 0.38815346, 0.7818667 , 0.50121343, 0.6031001 ],\n",
       "       dtype=float32),\n",
       " 234: array([1.1623211 , 0.7812003 , 0.26654932, 0.9807825 , 0.3716152 ,\n",
       "        0.7420607 , 0.79375356, 0.16622934, 0.9606441 , 0.7913873 ],\n",
       "       dtype=float32),\n",
       " 235: array([0.66277534, 0.6681952 , 0.6316235 , 0.806201  , 0.23130709,\n",
       "        0.4934568 , 0.81978446, 0.7932323 , 0.80590713, 0.9701375 ],\n",
       "       dtype=float32),\n",
       " 236: array([0.67255425, 0.7098938 , 0.8270146 , 0.7837125 , 0.15618256,\n",
       "        1.2857401 , 0.7840661 , 0.59570277, 1.1435299 , 0.5480931 ],\n",
       "       dtype=float32),\n",
       " 237: array([0.5820392 , 0.27415264, 0.179962  , 0.8833847 , 0.54618657,\n",
       "        0.47197995, 0.57102644, 0.8623991 , 0.88963556, 0.3587552 ],\n",
       "       dtype=float32),\n",
       " 238: array([1.4849734 , 0.5323528 , 0.5770622 , 0.4223717 , 1.140584  ,\n",
       "        0.10831957, 0.59894687, 0.45727745, 0.35561112, 1.0861728 ],\n",
       "       dtype=float32),\n",
       " 239: array([0.71697253, 0.3761514 , 0.7511493 , 0.5567645 , 0.5146297 ,\n",
       "        0.6556758 , 0.69348186, 1.1209896 , 0.5828141 , 0.7666161 ],\n",
       "       dtype=float32),\n",
       " 240: array([0.49966055, 1.0031058 , 1.2238047 , 1.5423435 , 0.70867324,\n",
       "        0.80048805, 0.48974255, 0.310136  , 0.52552456, 0.49246913],\n",
       "       dtype=float32),\n",
       " 241: array([0.69746566, 0.698308  , 0.6388014 , 1.3849026 , 0.6791763 ,\n",
       "        0.34770557, 0.5573033 , 0.4616075 , 0.56183374, 0.72068995],\n",
       "       dtype=float32),\n",
       " 242: array([0.44539627, 0.4196734 , 0.63551223, 0.7358143 , 0.76645654,\n",
       "        0.42108408, 0.6368679 , 0.95236593, 0.9668211 , 0.6347472 ],\n",
       "       dtype=float32),\n",
       " 243: array([0.73638904, 0.99957645, 0.83341604, 0.7825602 , 0.7708008 ,\n",
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       "       dtype=float32),\n",
       " 244: array([0.3090621 , 0.3160153 , 0.74082255, 0.61754304, 0.61432433,\n",
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       "       dtype=float32),\n",
       " 245: array([0.318888  , 0.60546947, 0.75686574, 0.09908773, 0.7114025 ,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 250: array([1.0016913 , 1.0466619 , 0.32379502, 0.7048122 , 0.5033216 ,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 252: array([0.68975514, 0.3374046 , 0.59172   , 1.1572803 , 0.33622307,\n",
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       "       dtype=float32),\n",
       " 253: array([0.46925765, 0.8900624 , 1.0353483 , 1.1324867 , 0.4565164 ,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.41353658, 0.6441292 , 0.4093798 , 0.7096543 , 0.75504214],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 258: array([0.4019712 , 0.40454403, 0.34253052, 0.28953934, 0.69281965,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.8234091 , 0.62014264, 0.7607281 , 0.04099051, 1.1457983 ],\n",
       "       dtype=float32),\n",
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       "        0.64180976, 0.4700149 , 1.0076355 , 1.0628042 , 0.33585104],\n",
       "       dtype=float32),\n",
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       "        0.67171067, 0.57765186, 0.07362101, 1.0597576 , 0.85643613],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.5457426 , 0.92243576, 0.1814835 , 1.045941  , 0.40221322],\n",
       "       dtype=float32),\n",
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       "        0.49989322, 0.82868254, 0.44708654, 0.6931632 , 0.5059395 ],\n",
       "       dtype=float32),\n",
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       "         0.9583712 ,  0.20052266,  0.65746546,  0.94316566,  0.21633519],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        2.4088818e-01, 1.0124525e+00, 8.9546502e-01, 8.9637458e-01,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "         0.9564465 ,  0.3800147 , -0.01308393,  0.8488104 ,  1.070432  ],\n",
       "       dtype=float32),\n",
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       "        0.96837616, 0.8965319 , 0.6915225 , 0.555208  , 0.41138542],\n",
       "       dtype=float32),\n",
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       "        0.6522425 , 0.8294066 , 1.3334941 , 0.6026434 , 0.36385012],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "         0.32130155,  0.9582891 ,  0.7007138 , -0.63308656,  0.74108535],\n",
       "       dtype=float32),\n",
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       "         2.1104977 ,  0.51848364, -0.07491091,  0.7626528 ,  1.1889776 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.1793754 , 0.28594556, 0.7164309 , 0.8506297 , 0.80584234],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "        0.3358849 , 0.66679937, 0.7080995 , 0.37739804, 0.5154409 ],\n",
       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "         2.9654595e-01,  4.0077084e-01,  7.8479213e-01,  2.0800743e-01,\n",
       "         1.0393045e+00,  3.0041394e-01], dtype=float32),\n",
       " 479: array([0.21105328, 0.35331404, 0.66759944, 0.8012488 , 0.20251684,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 486: array([1.0318006 , 0.3814805 , 0.6474376 , 1.3546649 , 0.46438557,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 492: array([1.145469  , 0.8649857 , 1.0083212 , 1.2067295 , 0.47761986,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 538: array([1.1222055 , 1.1829903 , 1.0231907 , 0.9141137 , 0.31470376,\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
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       "       dtype=float32),\n",
       " 609: array([0.40687922, 0.46573037, 0.5849101 , 0.32658738, 0.82321084,\n",
       "        0.72250706, 0.93297964, 0.7290542 , 0.4070214 , 0.6974552 ],\n",
       "       dtype=float32),\n",
       " 610: array([0.6988409 , 0.46713987, 0.5586562 , 0.7927506 , 0.71271884,\n",
       "        0.5717895 , 0.8417946 , 0.77438295, 0.93506545, 0.74703926],\n",
       "       dtype=float32)}"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
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